Self-Similarity of the Negative Binomial Multiplicity Distributions

Details Self-Similarity of the Negative Binomial Multiplicity Distributions Self-Similarity of the Negative Binomial Multiplicity Distributions

1997-08-04

arxiv.org/abs/hep-ph/9708233v1

Phys.Rev. D57 (1998) 602-605

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, plane tex, no figures

Scientific paper

10.1103/PhysRevD.57.602

The negative binomial distribution is self similar: If the spectrum over the whole rapidity range gives rise to a negative binomial, in absence of correlation and if the source is unique, also a partial range in rapidity gives rise to the same distribution. The property is not seen in experimental data, which are rather consistent with the presence of a number of independent sources. When multiplicities are very large self similarity might be used to isolate individual sources is a complex production process.

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